{
  "annotation_id": "1d7c896b-630c-4bc1-9899-e6cf8f680eb3",
  "date_created": "2026-03-02T18:01:28.830000Z",
  "date_modified": "2026-03-02T18:01:28.830000Z",
  "file_hash": "07aaf83b9b7aabe386b482b7fc4ad8fe98f888df048eb5e58e161f9b68457422",
  "private": false,
  "record": {
    "abstract": "We demonstrate our recent general results on the Casimir construction and\nmoduli space of all bicovariant calculi by means of some detailed examples,\nincluding finite-difference and 2-jet cacluli on $\\R^n$ and full details of the\nCasimir construction of the 4D calculus of $SU_q(2)$. We likewise demonstrate\nour previous general constructions with T. Brzezinski of quantum group gauge\ntheory with examples of such nonuniversal differential calculi on spacetime. We\noutline a notion of quantum homotopy of a quantum space. We indicate a possible\napplication to classical integrable systems.",
    "arxiv_id": "q-alg/9610003",
    "authors": [
      "S. Majid"
    ],
    "categories": [
      "q-alg",
      "math.QA"
    ],
    "title": "Advances in Quantum and Braided Geometry",
    "url": "https://arxiv.org/abs/q-alg/9610003"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "73c9a35d-7de3-44c3-b0c1-33eae1819a61",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}